Details

Time bar (total: 5.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms271×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.4b
(* y (+ 1.0 (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 74
Calls
2 calls:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
8.0ms
(* y (+ 1.0 (* z z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
52.0ms
(* y (+ 1.0 (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0416531
12028428
25001420

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
7.1b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 268
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) x)
18.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 y) x)
56.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
011383012
145962854
250022850

prune759.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 y))
0.6b
(/ (/ (cbrt (/ 1.0 y)) x) (sqrt (+ 1.0 (* z z))))
16.6b
(sqrt (+ 1.0 (* z z)))
16.6b
(sqrt (+ 1.0 (* z z)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
846×times-frac
410×add-sqr-sqrt
406×add-cube-cbrt *-un-lft-identity
286×cbrt-prod
165×sqrt-prod
52×associate-/l*
30×div-inv
9×add-exp-log
8×add-cbrt-cube
6×pow1 sqrt-div associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-+ div-exp flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ hypot-def
1×cbrt-div frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 449
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 y))
29.0ms
(/ (/ (cbrt (/ 1.0 y)) x) (sqrt (+ 1.0 (* z z))))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt (/ 1.0 y))
183.0ms
(/ (/ (cbrt (/ 1.0 y)) x) (sqrt (+ 1.0 (* z z))))
42.0ms
(sqrt (+ 1.0 (* z z)))
51.0ms
(sqrt (+ 1.0 (* z z)))

simplify149.0ms

Algorithm
egg-herbie
Counts
461 → 461
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
015427195
148296982
250016980

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (/ (/ (sqrt 1.0) y) (fma z z 1.0)) x)
5.8b
(/ (/ (sqrt 1.0) y) (fma z z 1.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
396×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
92×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 410
Calls
2 calls:
28.0ms
(/ (/ (/ (sqrt 1.0) y) (fma z z 1.0)) x)
9.0ms
(/ (/ (sqrt 1.0) y) (fma z z 1.0))

series255.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(/ (/ (/ (sqrt 1.0) y) (fma z z 1.0)) x)
124.0ms
(/ (/ (sqrt 1.0) y) (fma z z 1.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
416 → 416
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014585168
150025030

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 6.3b

regimes143.0ms

Accuracy

0% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01617
11617

end0.0ms

sample427.0ms

Algorithm
intervals
Results
253.0ms8631×body80valid